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[helm.git] / matita / contribs / CoRN-Decl / tactics / DiffTactics3.ma

diff --git a/matita/contribs/CoRN-Decl/tactics/DiffTactics3.ma b/matita/contribs/CoRN-Decl/tactics/DiffTactics3.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+set "baseuri" "cic:/matita/CoRN-Decl/tactics/DiffTactics3".
+
+include "CoRN.ma".
+
+(* $Id: DiffTactics3.v,v 1.1.1.1 2004/02/05 16:25:44 lionelm Exp $ *)
+
+(* begin hide *)
+
+include "ftc/MoreFunSeries.ma".
+
+include "ftc/Composition.ma".
+
+include "tactics/DiffTactics2.ma".
+
+(* UNEXPORTED
+Ltac Deriv_substR :=
+  match goal with
+  |  |- (Derivative ?X1 _) =>
+      let t := derivative_of X1 in
+      apply Derivative_wdr with t
+  end.
+*)
+
+inline "cic:/CoRN/tactics/DiffTactics3/symbPF.ind".
+
+(*
+  | ssum0     : nat->(nat->symbPF)->symbPF
+  | ssumx     : (n:nat)((i:nat)(lt i n)->symbPF)->symbPF
+  | ssum      : nat->nat->(nat->symbPF)->symbPF
+*)
+
+inline "cic:/CoRN/tactics/DiffTactics3/symb_to_PartIR.con".
+
+inline "cic:/CoRN/tactics/DiffTactics3/symbPF_deriv.con".
+
+(* UNEXPORTED
+Ltac PartIR_to_symbPF f :=
+  match constr:f with
+  | ([-C-]?X3) => constr:(sconst X3)
+  | FId => constr:sid
+  | (?X3{+}?X4) =>
+      let t1 := PartIR_to_symbPF X3 with t2 := PartIR_to_symbPF X4 in
+      constr:(splus t1 t2)
+  | ({--}?X3) =>
+      let t1 := PartIR_to_symbPF X3 in
+      constr:(sinv t1)
+  | (?X3{-}?X4) =>
+      let t1 := PartIR_to_symbPF X3 with t2 := PartIR_to_symbPF X4 in
+      constr:(sminus t1 t2)
+  | (?X3{*}?X4) =>
+      let t1 := PartIR_to_symbPF X3 with t2 := PartIR_to_symbPF X4 in
+      constr:(smult t1 t2)
+  | (?X3{**}?X4) =>
+      let t := PartIR_to_symbPF X4 in
+      constr:(sscalmult X3 t)
+  | (?X3{^}?X4) =>
+      let t1 := PartIR_to_symbPF X3 in
+      constr:(snth t1 X4)
+  | ({1/}?X3) =>
+      let t1 := PartIR_to_symbPF X3 in
+      constr:(srecip t1)
+  | (?X3{/}?X4) =>
+      let t1 := PartIR_to_symbPF X3 with t2 := PartIR_to_symbPF X4 in
+      constr:(sdiv t1 t2)
+  | (?X3[o]?X4) =>
+      let t1 := PartIR_to_symbPF X3 with t2 := PartIR_to_symbPF X4 in
+      constr:(scomp t1 t2)
+  | ?X3 =>
+      let t := constr:X3 in
+      match goal with
+      | H:(Derivative ?X1 ?X2 t ?X4) |- _ =>
+          constr:(shyp X1 X2 t X4 H)
+      | H:(Diffble ?X1 ?X2 t) |- _ => constr:(shyp' X1 X2 t H)
+      end
+  end.
+*)
+
+(* UNEXPORTED
+Ltac Derivative_Help :=
+  match goal with
+  |  |- (Derivative ?X1 ?X2 ?X3 ?X4) =>
+      let r := PartIR_to_symbPF X3 in
+      (apply Derivative_wdr with (symbPF_deriv r);
+        [ unfold symbPF_deriv, symb_to_PartIR in |- *
+        | simpl in |- *; Deriv ])
+  end.
+*)
+
+(* end hide *)
+